What is the Least Common Multiple of 32628 and 32646?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 32628 and 32646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32628 and 32646, than apply into the LCM equation.

GCF(32628,32646) = 6
LCM(32628,32646) = ( 32628 × 32646) / 6
LCM(32628,32646) = 1065173688 / 6
LCM(32628,32646) = 177528948

Least Common Multiple (LCM) of 32628 and 32646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32628 and 32646. First we will calculate the prime factors of 32628 and 32646.

Prime Factorization of 32628

Prime Factorization of 32646

Now multiplying the highest exponent prime factors to calculate the LCM of 32628 and 32646.

LCM(32628,32646) = 2² × 3¹ × 2719¹ × 5441¹
LCM(32628,32646) = 177528948